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1230020300322 = 2321171376723227
BaseRepresentation
bin10001111001100010111…
…011000100111000100010
311100120220020012101011100
4101321202323010320202
5130123040144102242
62341021415455230
7154603023021342
oct21714273047042
94316806171140
101230020300322
11434715436050
1217a477387516
138bcb4c39b18
1443767538d22
1521ee04c454c
hex11e62ec4e22

1230020300322 has 96 divisors (see below), whose sum is σ = 2949178512384. Its totient is φ = 367370287200.

The previous prime is 1230020300297. The next prime is 1230020300401. The reversal of 1230020300322 is 2230030200321.

It is a happy number.

1230020300322 is a `hidden beast` number, since 1 + 23 + 0 + 0 + 20 + 300 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1230020300295 and 1230020300304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52944873 + ... + 52968099.

It is an arithmetic number, because the mean of its divisors is an integer number (30720609504).

Almost surely, 21230020300322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230020300322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474589256192).

1230020300322 is an abundant number, since it is smaller than the sum of its proper divisors (1719158212062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1230020300322 is a wasteful number, since it uses less digits than its factorization.

1230020300322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27084 (or 27081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1230020300322 its reverse (2230030200321), we get a palindrome (3460050500643).

The spelling of 1230020300322 in words is "one trillion, two hundred thirty billion, twenty million, three hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 3767 4686 7029 7534 11301 14058 22602 23227 33903 41437 46454 67806 69681 82874 124311 139362 209043 248622 255497 267457 372933 418086 510994 534914 745866 766491 802371 1532982 1604742 1649117 2299473 2407113 2942027 3298234 4598946 4814226 4947351 5884054 8826081 9894702 14842053 17652162 18140287 26478243 29684106 36280574 52956486 54420861 87496109 108841722 163262583 174992218 262488327 326525166 524976654 787464981 962457199 1574929962 1924914398 2887371597 5774743194 6212223739 8662114791 12424447478 17324229582 18636671217 37273342434 55910013651 68334461129 111820027302 136668922258 205003383387 410006766774 615010150161 1230020300322